Mixed finite elements for Bingham flow in a pipe

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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2022-11-10

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Department of Mathematics and Systems Analysis

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en

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Numerische Mathematik, Volume 152, issue 4, pp. 819–840

Abstract

We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.

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DOI

10.1007/s00211-022-01332-w

Citation

Gustafsson, T & Lederer, P 2022, 'Mixed finite elements for Bingham flow in a pipe', Numerische Mathematik, vol. 152, no. 4, pp. 819–840. https://doi.org/10.1007/s00211-022-01332-w

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https://urn.fi/URN:NBN:fi:aalto-202211236589

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[article-cris] Perustieteiden korkeakoulu / SCI